72658848 has 48 divisors (see below), whose sum is σ = 191328480. Its totient is φ = 24143616.

The previous prime is 72658837. The next prime is 72658877. The reversal of 72658848 is 84885627.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 72658797 and 72658806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35386 + ... + 37382.

It is an arithmetic number, because the mean of its divisors is an integer number (3986010).

Almost surely, 2^72658848 is an apocalyptic number.

It is an amenable number.

72658848 is an abundant number, since it is smaller than the sum of its proper divisors (118669632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72658848 is a wasteful number, since it uses less digits than its factorization.

72658848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2381 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 72658848 is about 8524.0159549358. The cubic root of 72658848 is about 417.2818571882.

The spelling of 72658848 in words is "seventy-two million, six hundred fifty-eight thousand, eight hundred forty-eight".